Final answer:
A ritual where a father simulates giving birth in public while the mother gives birth privately is not a standard cultural practice and does not have a specific name based on the provided context.
Step-by-step explanation:
The custom in which a father partakes in a public ritually symbolic act while his wife is giving birth privately does not seem to correspond to a widely recognized cultural practice based on the provided information. However, cultural rites and customs surrounding childbirth can be complex and highly specific to certain societies, often reflecting deep-rooted gender roles and ideologies. For instance, some cultures involve ceremonies that officially introduce a newborn to society, like the naming ceremonies in West African societies where a baby is publicly named by an elder or religious official. These rituals are significant markers of the beginning of a person's social existence within their community.